Lösung 3.3:6b

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The logarithm \displaystyle \lg 46 satisfies the relation

Vorlage:Displayed math

and taking the natural logarithm of both sides, we obtain

Vorlage:Displayed math

If we use the logarithm law, \displaystyle \lg a^b = b\cdot\lg a, on the left-hand side, the equality becomes

Vorlage:Displayed math

This shows that

Vorlage:Displayed math

and the answer is 1.663.


Note: In order to calculate the answer on the calculator, you press

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